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3 years ago

Simplify the expression.

Mathematics

2 answers:

Greeley [361]3 years ago

5 0

Answer:

The answer is (b) cscx

Step-by-step explanation:

∵ secx = 1/cosx

∵ tanx = sinx/cosx

∴ secx/tanx = 1/cosx ÷ sinx/cosx

= 1/cosx × cosx/sinx

= cscx

Alina [70]3 years ago

5 0

Answer:

Choice b is the answer.

Step-by-step explanation:

We have given an expression.

$\frac{secx}{tanx}$

We have to simplify given expression.

Since, we know that

secx is reciprocal of cosx.

$secx=\frac{1}{cosx}$

tanx is ratio of sinx to cosx.

$tanx=\frac{sinx}{cosx}$

Putting above formulas in given expression ,we have

$\frac{1}{cosx}$ ÷ $\frac{sinx}{cosx}$

$\frac{1}{cosx}$ × $\frac{cosx}{sinx}$

$\frac{1}{sinx}$

Hence, cscx is reciprocal of sinx.

$\frac{secx}{tanx}$ = cscx

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What is the value of 2 in 255.6

True [87]

Answer:

200?

Step-by-step explanation:

its kinda simple but the 2 is in the hundreds place therefore it is 200.

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3 years ago

What is the equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3?

Alika [10]

<h3><u><em>Option B</em></u></h3><h3><u><em>The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3</em></u></h3><h3><u><em /></u> $y + 3 = \frac{2}{3}(x -5)$ <u><em /></u></h3>

<em><u>Solution:</u></em>

<em><u>The equation of line in point slope form is given as:</u></em>

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

Given that,

slope = 2/3

$m = \frac{2}{3}$

The line passes through (5, -3)

Substitute m = 2/3 and $(x_1, y_1)$ = (5, -3) in point slope form

$y - (-3) = \frac{2}{3}(x -5)\\\\y + 3 = \frac{2}{3}(x -5)$

Thus equation of line in point slope form is found

8 0

3 years ago

It was recently estimated that females outnumber males by about three or two. If there are 1770 people in a county, how many of

max2010maxim [7]

GIVEN

1) Females outnumber males by 3 to 2.

2) There are 1770 people in the city.

SOLUTION

Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:

$x+y=1770\text{ -----------(1)}$

If there are 3 females for every 2 males, we have that:

$\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{ ----------(2)} \end{gathered}$

We can substitute equation (2) into equation (1) and solve for y:

$\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}$

Dividing both sides by 5, we have

$y=1062$

There are 1062 females in the county.

3 0

1 year ago

Find the distance between the two points.

Ksenya-84 [330]

Hey there!

Distance formula:

d = $\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1}) }$

Plug in variables:

d = $\sqrt{(0-(-6))+(0-(-7))}$

Simplify.

d = $\sqrt{6+7}$

d = $\sqrt{13}$

The distance between the two points is $\sqrt{13}$ units.

Hope this helps!

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3 years ago

How do you reduce 6 33/16

UkoKoshka [18]

When you see the fraction 33/16, you realize that 33 divided by 16 is 2 remainder 1, so you add the 2 to the original 6, then put the remainder 1 on top of 16 ,which gives you 8 1/16

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3 years ago

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